44226325480960 has 960 divisors, whose sum is σ = 131523865862400. Its totient is φ = 14193812570112.

The previous prime is 44226325480943. The next prime is 44226325480969. The reversal of 44226325480960 is 6908452362244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44226325480969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61510883481 + ... + 61510884199.

It is an arithmetic number, because the mean of its divisors is an integer number (137004026940).

Almost surely, 2^{44226325480960} is an apocalyptic number.

44226325480960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44226325480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65761932931200).

44226325480960 is an abundant number, since it is smaller than the sum of its proper divisors (87297540381440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44226325480960 is a wasteful number, since it uses less digits than its factorization.

44226325480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 55.

The spelling of 44226325480960 in words is "forty-four trillion, two hundred twenty-six billion, three hundred twenty-five million, four hundred eighty thousand, nine hundred sixty".